Free (ℓr, rr)-dibands

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2013
• 1. Verfasser: Zhuchok, A.V.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2013
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/152297
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Free (ℓr, rr)-dibands / A. V. Zhuchok // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 295–304. — Бібліогр.: 12 назв. — англ.

We prove that varieties of (ℓr, rr)-dibands and (ℓn, rn)-dibands coincide and describe the structure of free (ℓr, rr)-dibands. We also show that operations of an idempotent dimonoid with left (right) regular bands coincide, construct a new class of dimonoids and for such dimonoids give an example of...